Greatest Common Factor of 399/93, 192/25, 203/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 399/93, 192/25, 203/524

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 399/93,192/25,203/524

Given fractions are 399/93,192/25,203/524

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 399,192,203

Greatest Common Factor of Numerators i.e. GCF of 399,192,203 is 1 .

LCM of Denominators means LCM of 93,25,524 as per the given fractions.

LCM of 93,25,524 is 1218300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 399,192,203

GCF of Fractions 399/93,192/25,203/524 is 1/1218300

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 399,192,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,192,203 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 399,192,203 . The biggest common factor number is the GCF number.
So the greatest common factor 399,192,203 is 1.

Lets's calculate LCM of 93,25,524

Given numbers has no common factors except 1. So, there LCM is their product i.e 1218300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1218300

Therefore, the GCF of Fractions 399/93,192/25,203/524 is 1/1218300

Least Common Multiple of 93,25,524 with GCF Formula

Least Common Multiple of 93,25,524 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 93,25,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,25,524) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(93,25,524) x common factors =1 x 1 = 1

LCM(93,25,524) = ( 93 × 25 × 524 ) / 1

LCM(93,25,524) = 1218300 / 1

LCM(93,25,524) = 1218300


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 399/93, 192/25, 203/524

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 399/93, 192/25, 203/524?

Answer: GCF of Numerators as per given numbers 399/93, 192/25, 203/524 is

GCF of Numerators i.e. for 399,192,203 is 1

LCM of denominators i.e. for 93,25,524 is 1218300.

Thus, GCF of Fractions is 1/1218300.Finally, GCF of Fractions for 399/93, 192/25, 203/524 is 1/1218300.